Most of active mass damper systems are designed or installed for the onshore structural response reduction to quite small earthquake or strong wind excitation. When they are applied to offshore structures, they will stop their operations during severe sea state (including strong wind, wave and fluid). For controlling the excessive vibration of offshore structure excited by wave loading, this paper presents a methodology keeping AMD operations even in severe sea state. And the controller was designed by LQG control algorithm accounting for the limits of AMD stroke and control input force. In order to investigate the feasibility and effectiveness of the proposed method, a numerical example applied to an offshore platform is presented in this paper. The numerical results demonstrate that the proposed algorithm is effective in reducing the vibration of offshore structure by choosing appropriate feedback gain among several gain candidates based on the AMD limits.